c) Consider a hash table of size 11 with hash function h(x) = x mod 11. For each of the three scenarios specified below, draw the table that is the result after inserting, in the given order, the following values: 55, 35, 54, 30, 77, 59, 65, 96, 125: (i) When collisions are handled by separate chaining; Wh

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c) Consider a hash table of size 11 with hash function h(x) = x mod 11. For each of the
three scenarios specified below, draw the table that is the result after inserting, in the
given order, the following values: 55, 35, 54, 30, 77, 59, 65, 96, 125:
(i) When collisions are handled by separate chaining;
=
(ii) When collisions are handled by double hashing using a second hash function h'(x) =
(x mod 5) + 1. Hint, the overall (combined) hash function is H(x) = (h(x) + i x
h'(x)) mod 11, where i = 0, 1, 2, 3, ...
(iii) When collisions are handled by quadratic probing with a quadratic probe function
h'(x, i) = (h(x) + 0.5 i +0.5 i²) mod 11 where i = 1, 2, 3, ....
Transcribed Image Text:c) Consider a hash table of size 11 with hash function h(x) = x mod 11. For each of the three scenarios specified below, draw the table that is the result after inserting, in the given order, the following values: 55, 35, 54, 30, 77, 59, 65, 96, 125: (i) When collisions are handled by separate chaining; = (ii) When collisions are handled by double hashing using a second hash function h'(x) = (x mod 5) + 1. Hint, the overall (combined) hash function is H(x) = (h(x) + i x h'(x)) mod 11, where i = 0, 1, 2, 3, ... (iii) When collisions are handled by quadratic probing with a quadratic probe function h'(x, i) = (h(x) + 0.5 i +0.5 i²) mod 11 where i = 1, 2, 3, ....
a) A list of student's names is maintained in an AVL tree T. Design an algorithm for
performing the operation findAll to return all the names in the AVL tree that match the
searched name. Note that there is a possibility that same names exist in the tree. In
the case that the same name exists, the name is added to the left subtree.
b) Delete element 60 in the following Binary Search Tree (BST). Provide a brief
description/explanation how the delete operation is performed. Your explanation can
be in point form. Show the final Binary Search Tree (after the deletion of element 60).
10
20
ส
25
32
30
40
49
45
50
180
55
51
60
230
70
74
80
75
76
Transcribed Image Text:a) A list of student's names is maintained in an AVL tree T. Design an algorithm for performing the operation findAll to return all the names in the AVL tree that match the searched name. Note that there is a possibility that same names exist in the tree. In the case that the same name exists, the name is added to the left subtree. b) Delete element 60 in the following Binary Search Tree (BST). Provide a brief description/explanation how the delete operation is performed. Your explanation can be in point form. Show the final Binary Search Tree (after the deletion of element 60). 10 20 ส 25 32 30 40 49 45 50 180 55 51 60 230 70 74 80 75 76
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